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/sci/ - Science & Math

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1604294 No.1604294 [Reply] [Original]

Hello /sci/,

I have a question concerning centripetal and centrifugal force.

Say, for example, that an object is traveling 90 percent the speed of light, 270,000 m/s, and approaches a planet. As it passes the planet, it's trajectory curves, Lets say that the radius of curvature is 7000 km (equal to high Earth orbit).

The formula for centripetal acceleration is a=v^2/r, and crunching the numbers gives a centripetal acceleration of 1.04 x10^10 m/s^2 (10,400,000,000 m/s^2)

That seems very odd to me and it seems strange that an object would have a greater outward acceleration than it's actual velocity. Anyone have any thoughts on this?

>> No.1604307
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1604307

>>1604294
You are using very very very basic dumbed down physics ideas to try and explain real physics. You will fail.

You need higher physis to understand this shit.

\Thread

>> No.1604315

>>1604294 That seems very odd to me and it seems strange that an object would have a greater outward acceleration than it's actual velocity.

This is not odd? Why do you think it is odd?

>> No.1604317

>>1604307

For the love of god, it's a forward slash! Fuck!

>> No.1604324

>You are using very very very basic dumbed down physics ideas to try and explain real physics.
That's /sci/ when it tries to be serious.
Should that make us sad? I reckon.

>> No.1604325

Acceleration and velocity are measured in different units. It makes no sense at all to compare their magnitudes.

>> No.1604328

>>1604317
actually it's a backward slash.
.-.

>> No.1604348

>>1604328

You're using slashes all wrong, and I will kill you.

>> No.1604356

centripetal acceleration: a = v^2/r

You're curious about cases where a > v.

a = v^2/r
Replacing v on the right hand side ensures that that side is now greater: (Of course, units no longer apply here.)
a < a^2/r
ra < a^2
r < a

So it's not that uncommon a situation. Anytime the radius of curvature is less than the acceleration, centripetal acceleration will be greater than velocity. You don't require relativistic speeds for this to happen, just a small enough radius.

>> No.1604377

>>1604356
Thanks, you were more helpful than all the other assholes.

>> No.1604402

>>1604377
No sweat. Even if it's just a curiosity, exploring how equations work will help you understand them better. So keep at it.

>> No.1604465

>>1604356

that shit doesn't seem right to me

>> No.1604515

>>1604465
Are you an idiot, sir?

>> No.1604539

>>1604465

Well, the comparison is somewhat arbitrary. The radius of interest will change based upon the units you use. Meters per second will yield a different result than mph, for example. So it's more of a curiosity than a useful comparison.